publications.html

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title: Publications
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<h2>Submitted preprints</h2>
<div id="pub" class="pub filterable ">
<a href="http://arxiv.org/abs/2209.12235"><name> A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations </name><br>
</a>
<authors> Carlos  Muñoz Moncayo, Manuel  Quezada de Luna,  and D. I. Ketcheson</authors>,
 (2022)<br>
<links>  | <a href="http://arxiv.org/abs/2209.12235">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://arxiv.org/abs/2204.11264"><name> Design of DIRK Schemes with High Weak Stage Order </name><br>
</a>
<authors> Abhijit  Biswas, David I. Ketcheson, Benjamin  Seibold,  and David  Shirokoff</authors>,
 (2022)<br>
<links>  | <a href="http://arxiv.org/abs/2204.11264">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="http://arxiv.org/abs/2211.14574"><name> Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods </name><br>
</a>
<authors> Yousef  Alamri  and David I Ketcheson</authors>,
 (2022)<br>
<links>  | <a href="http://arxiv.org/abs/2211.14574">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable hyperbolic  time integration">
<a href="http://arxiv.org/abs/2105.07403"><name> Positivity preservation of implicit discretizations of the advection equation </name><br>
</a>
<authors> Yiannis  Hadjimichael, David I. Ketcheson,  and Lajos  Lóczi</authors>,
 (2021)<br>
<links>  | <a href="http://arxiv.org/abs/2105.07403">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://arxiv.org/abs/2204.03603"><name> Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods </name><br>
</a>
<authors> Abhijit  Biswas, David I. Ketcheson, Benjamin  Seibold,  and David  Shirokoff</authors>,
<br>
<links>  | <a href="http://arxiv.org/abs/2204.03603">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<h2>Refereed Journal Articles</h2>
<div id="pub" class="pub filterable hyperbolic  runge-kutta  ssp">
<img src="http://davidketcheson.info/assets/paper_images/kuzmin2020bound.png" align="right" />
<a href="https://doi.org/10.1007/s10915-022-01784-0"><name> Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws </name><br>
</a>
<authors> Dmitri  Kuzmin, Manuel  Luna, David I Ketcheson,  and Johanna  Grüll</authors>,
<journal> Journal of Scientific Computing</journal>, 91(21) (2022)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-022-01784-0">Published version</a>  | <a href="http://arxiv.org/abs/2009.01133">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time integration  runge-kutta">
<img src="http://davidketcheson.info/assets/paper_images/2022_bseries.png" align="right" />
<a href="http://dx.doi.org/10.1145/3573384"><name> Computing with B-series </name><br>
</a>
<authors> David I. Ketcheson  and Hendrik  Ranocha</authors>,
<journal> ACM Transactions on Mathematical Software</journal> (2022)<br>
<links>  | <a href="http://arxiv.org/abs/2111.11680">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.1007/s10915-022-01922-8"><name> Maximum principle preserving space and time flux limiting for Diagonally Implicit Runge-Kutta discretizations of scalar convection-diffusion equations </name><br>
</a>
<authors> Manuel Quezada Luna  and David I. Ketcheson</authors>,
<journal> Journal of Scientific Computing</journal>, 92(102) (2022)<br>
<links>  | <a href="http://arxiv.org/abs/2109.08272">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable hyperbolic  water waves  riemann solvers">
<a href="https://doi.org/10.1002/fld.5070"><name> Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump </name><br>
</a>
<authors> David I. Ketcheson  and Manuel Quezada Luna</authors>,
<journal> International Journal for Numerical Methods in Fluids</journal>, 94(6):655--677 (2022)<br>
<links>  | <a href="https://doi.org/10.1002/fld.5070">Published version</a>  | <a href="http://arxiv.org/abs/2103.09664">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta  time integration">
<img src="http://davidketcheson.info/assets/paper_images/ranocha2021optimized.png" align="right" />
<a href="https://doi.org/10.1007/s42967-021-00159-w"><name> Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics </name><br>
</a>
<authors> Hendrik  Ranocha, Lisandro  Dalcin, Matteo  Parsani,  and David I. Ketcheson</authors>,
<journal> Communications on Applied Mathematics and Computation</journal>, 4(4):1191--1228 (2022)<br>
<links>  | <a href="https://doi.org/10.1007/s42967-021-00159-w">Published version</a>  | <a href="http://arxiv.org/abs/2104.06836">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable epidemiology">
<a href="https://doi.org/10.1038/s41598-022-10097-z"><name> Rapid Evolution of SARS-CoV-2 Challenges Human Defenses </name><br>
</a>
<authors> Carlos M. Duarte, David I. Ketcheson, Víctor M. Eguíluz, Susana  Agustí, Juan  Fernández-Gracia, Tahira  Jamil, Elisa  Laiolo, Takashi  Gojobori,  and Intikhab  Alam</authors>,
<journal> Scientific Reports</journal>, 12(6457) (2022)<br>
<links>  | <a href="https://doi.org/10.1038/s41598-022-10097-z">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time integration  dispersive waves">
<a href="https://doi.org/10.4208/CICP.OA-2020-0119"><name> A broad class of conservative numerical methods for dispersive wave equations </name><br>
</a>
<authors> Hendrik  Ranocha, Dimitrios  Mitsotakis,  and David I Ketcheson</authors>,
<journal> Communications in Computational Physics</journal>, 29(4):979--1029 (2021)<br>
<links>  | <a href="https://doi.org/10.4208/CICP.OA-2020-0119">Published version</a>  | <a href="http://arxiv.org/abs/2006.14802">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time integration  dispersive waves">
<a href="https://doi.org/10.1137/20M1364606"><name> A conservative fully-discrete numerical method for the regularised shallow water wave equations </name><br>
</a>
<authors> Dimitrios  Mitsotakis, Hendrik  Ranocha, David I Ketcheson,  and Endre  Süli</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 43(2):B508--B537 (2021)<br>
<links>  | <a href="https://doi.org/10.1137/20M1364606">Published version</a>  | <a href="http://arxiv.org/abs/2009.09641">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.3390/math9131513"><name> A review of matrix SIR Arino epidemic models </name><br>
</a>
<authors> Florin  Avram, Rim  Adenane,  and David I. Ketcheson</authors>,
<journal> Mathematics</journal>, 9(13):1513 (2021)<br>
<links>  | <a href="https://doi.org/10.3390/math9131513">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable dispersive waves  time-integration">
<a href="https://doi.org/10.1007/s42985-021-00126-3"><name> On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations </name><br>
</a>
<authors> Hendrik  Ranocha, Manuel Quezada Luna,  and David I. Ketcheson</authors>,
<journal> Partial Differential Equations and Applications</journal>, 2(6):1--26 (2021)<br>
<links>  | <a href="https://doi.org/10.1007/s42985-021-00126-3">Published version</a>  | <a href="http://arxiv.org/abs/2102.07376">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.1007/s00285-021-01628-9"><name> Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention </name><br>
</a>
<authors> David I Ketcheson</authors>,
<journal> Journal of Mathematical Biology</journal>, 83(1):1--21 (2021)<br>
<links>  | <a href="https://doi.org/10.1007/s00285-021-01628-9">Published version</a>  | <a href="http://arxiv.org/abs/2004.08848">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.2140/camcos.2021.16.155"><name> Positivity-Preserving Adaptive Runge-Kutta Methods </name><br>
</a>
<authors> Stephan  Nüßlein, Hendrik  Ranocha,  and David I Ketcheson</authors>,
<journal> Communications in Applied Mathematics and Computational Science</journal>, 16(2):155-179 (2021)<br>
<links>  | <a href="https://doi.org/10.2140/camcos.2021.16.155">Published version</a>  | <a href="http://arxiv.org/abs/2005.06268">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable periodic-media  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2021_solitary.png" align="right" />
<a href="https://doi.org/10.1017/jfm.2021.267"><name> Solitary water waves created by variations in bathymetry </name><br>
</a>
<authors> Manuel  Quezada de Luna  and David I Ketcheson</authors>,
<journal> Journal of Fluid Mechanics</journal>, 917 (2021)<br>
<links>  | <a href="https://doi.org/10.1017/jfm.2021.267">Published version</a>  | <a href="http://arxiv.org/abs/1907.07094">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable epidemiology">
<a href="https://doi.org/10.12688/wellcomeopenres.15996.1"><name> Assessing the age-and gender-dependence of the severity and case fatality rates of COVID-19 disease in Spain </name><br>
</a>
<authors> Paula  Moraga, David I Ketcheson, Hernando C Ombao,  and Carlos M Duarte</authors>,
<journal> Wellcome Open Research</journal>, 5(117):117 (2020)<br>
<links>  | <a href="https://doi.org/10.12688/wellcomeopenres.15996.1">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable periodic-media  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2019_periodic.png" align="right" />
<a href="https://doi.org/10.4310/CMS.2020.V18.N4.A6"><name> Effective Rankine-Hugoniot conditions for shock waves in periodic media </name><br>
</a>
<authors> David I Ketcheson  and Manuel  Luna</authors>,
<journal> Communications in Mathematical Sciences</journal>, 18(4):1023--1040 (2020)<br>
<links>  | <a href="https://doi.org/10.4310/CMS.2020.V18.N4.A6">Published version</a>  | <a href="http://arxiv.org/abs/1909.04937">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  runge-kutta">
<a href="https://doi.org/10.1137/19M1290346"><name> Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems </name><br>
</a>
<authors> Hendrik  Ranocha  and David I Ketcheson</authors>,
<journal> SIAM Journal On Numerical Analysis</journal>, 58(6):3382--3405 (2020)<br>
<links>  | <a href="https://doi.org/10.1137/19M1290346">Published version</a>  | <a href="http://arxiv.org/abs/1909.13215">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.1007/s00211-020-01158-4"><name> General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes </name><br>
</a>
<authors> Hendrik  Ranocha, Lajos  Lóczi,  and David I Ketcheson</authors>,
<journal> Numerische Mathematik</journal>, 146 (2020)<br>
<links>  | <a href="https://doi.org/10.1007/s00211-020-01158-4">Published version</a>  | <a href="http://arxiv.org/abs/2003.03012">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  runge-kutta">
<img src="http://davidketcheson.info/assets/paper_images/2019_DNStime.png" align="right" />
<a href="https://doi.org/10.1002/fld.4773"><name> More efficient time integration for Fourier pseudo-spectral DNS of incompressible turbulence </name><br>
</a>
<authors> David I Ketcheson, Mikael  Mortensen, Matteo  Parsani,  and Nathanael  Schilling</authors>,
<journal> International Journal for Numerical Methods in Fluids</journal>, 92(2):79--93 (2020)<br>
<links>  | <a href="https://doi.org/10.1002/fld.4773">Published version</a>  | <a href="http://arxiv.org/abs/1810.10197">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.21105/joss.02515"><name> `NodePy`: A package for the analysis of numerical ODE solvers </name><br>
</a>
<authors> David I. Ketcheson, Hendrik  Ranocha, Matteo  Parsani, Umair Bin Waheed,  and Yiannis  Hadjimichael</authors>,
<journal> Journal of Open Source Software</journal>, 5(55):2515 (2020)<br>
<links>  | <a href="https://doi.org/10.21105/joss.02515">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.1007/s10915-020-01277-y"><name> Relaxation Runge-Kutta Methods for Hamiltonian Problems </name><br>
</a>
<authors> Hendrik  Ranocha  and David I Ketcheson</authors>,
<journal> Journal of Scientific Computing</journal>, 84 (2020)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-020-01277-y">Published version</a>  | <a href="http://arxiv.org/abs/2001.04826">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta  time-integration  hyperbolic">
<a href="https://doi.org/10.1137/19M1263480"><name> Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations </name><br>
</a>
<authors> Hendrik  Ranocha, Mohammed  Sayyari, Lisandro  Dalcin, Matteo  Parsani,  and David I Ketcheson</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 42(2):A612--A638 (2020)<br>
<links>  | <a href="https://doi.org/10.1137/19M1263480">Published version</a>  | <a href="http://arxiv.org/abs/1905.09129">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="https://doi.org/10.21105/joss.02514"><name> `RK-Opt`: A package for the design of numerical ODE solvers </name><br>
</a>
<authors> David I. Ketcheson, Matteo  Parsani, Zachary J. Grant, Aron J. Ahmadia,  and Hendrik  Ranocha</authors>,
<journal> Journal of Open Source Software</journal>, 5(54):2514 (2020)<br>
<links>  | <a href="https://doi.org/10.21105/joss.02514">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<img src="http://davidketcheson.info/assets/paper_images/2019_shoaling.png" align="right" />
<a href="https://doi.org/10.1007/s00024-019-02316-y"><name> Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green's Law </name><br>
</a>
<authors> Jithin  George, David I. Ketcheson,  and Randall J. LeVeque</authors>,
<journal> Pure and Applied Geophysics</journal> (2019)<br>
<links>  | <a href="https://doi.org/10.1007/s00024-019-02316-y">Published version</a>  | <a href="http://arxiv.org/abs/1901.04148">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2019_characteristics.png" align="right" />
<a href="https://doi.org/10.1137/19M1238630"><name> A Path-integral method for solution of the wave equation with continuously-varying coefficients </name><br>
</a>
<authors> Jithin D George, David I Ketcheson,  and Randall J LeVeque</authors>,
<journal> SIAM Journal on Applied Mathematics</journal>, 79(6):2615--2638 (2019)<br>
<links>  | <a href="https://doi.org/10.1137/19M1238630">Published version</a>  | <a href="http://arxiv.org/abs/1901.04158">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta  time-integration  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2019_energyRRK.png" align="right" />
<a href="https://doi.org/10.1137/19M1263662"><name> Relaxation Runge-Kutta Methods: Conservation and stability for Inner-Product Norms </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 57(6):2850-2870 (2019)<br>
<links>  | <a href="https://doi.org/10.1137/19M1263662">Published version</a>  | <a href="http://arxiv.org/abs/1905.09847">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  hyperbolic">
<a href="https://doi.org/10.1093/gji/ggx470"><name> On long-time instabilities in staggered finite difference simulations of the seismic acoustic wave equations on discontinuous grids </name><br>
</a>
<authors> Longfei  Gao, David I. Ketcheson,  and David E. Keyes</authors>,
<journal> Geophysical Journal International</journal>, 212(2):1098--1110 (2018)<br>
<links>  | <a href="https://doi.org/10.1093/gji/ggx470">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  runge-kutta  downwinding  ssp">
<a href="https://doi.org/10.1007/s10915-018-0664-3"><name> Optimal Monotonicity-Preserving Perturbations of a Given Runge--Kutta Method </name><br>
</a>
<authors> Inmaculada  Higueras, David I. Ketcheson,  and Tihamér A. Kocsis</authors>,
<journal> Journal of Scientific Computing</journal>, 76(3):1337--1369 (2018)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-018-0664-3">Published version</a>  | <a href="http://arxiv.org/abs/1505.04024">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp  time-integration  runge-kutta  hyperbolic">
<a href="https://doi.org/10.1007/s10915-017-0432-9"><name> Positivity for convective semi-discretizations </name><br>
</a>
<authors> Imre  Fekete, David I Ketcheson,  and Lajos  Lóczi</authors>,
<journal> Journal of Scientific Computing</journal>, 74(1):244--266 (2018)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-017-0432-9">Published version</a>  | <a href="http://arxiv.org/abs/1610.00228">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  ssp  multistep">
<a href="https://doi.org/10.1090/mcom/3296"><name> Strong-stability-preserving additive linear multistep methods </name><br>
</a>
<authors> Yiannis  Hadjimichael  and David I. Ketcheson</authors>,
<journal> Math. of Comp.</journal>, 87(313):2295--2320 (2018)<br>
<links>  | <a href="https://doi.org/10.1090/mcom/3296">Published version</a>  | <a href="http://arxiv.org/abs/1601.03637">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp  time-integration  runge-kutta">
<a href="https://doi.org/10.1007/s10915-016-0331-5"><name> Dense output for strong stability preserving Runge--Kutta methods </name><br>
</a>
<authors> David I. Ketcheson, Lajos  Lóczi, Aliya  Jangabylova,  and Adil  Kusmanov</authors>,
<journal> Journal of Scientific Computing</journal>, 71(3):944--958 (2017)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-016-0331-5">Published version</a>  | <a href="http://arxiv.org/abs/1605.02429">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  ssp  runge-kutta  multistep">
<a href="https://doi.org/10.1090/mcom/3115"><name> Explicit Strong Stability Preserving Multistep Runge-Kutta Methods </name><br>
</a>
<authors> Christopher  Bresten, Sigal  Gottlieb, Zachary  Grant, Daniel  Higgs, David I. Ketcheson,  and Adrian  Németh</authors>,
<journal> Math. of Comp.</journal>, 86 (2017)<br>
<links>  | <a href="https://doi.org/10.1090/mcom/3115">Published version</a>  | <a href="http://arxiv.org/abs/1307.8058">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration">
<a href="http://dx.doi.org/10.1007/s10543-016-0626-9"><name> Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes </name><br>
</a>
<authors> Winfried  Auzinger, Harald  Hofstätter, David I. Ketcheson,  and Othmar  Koch</authors>,
<journal> BIT Numerical Mathematics</journal>, 57(1):55--74 (2017)<br>
<links>  | <a href="https://doi.org/10.1007/s10543-016-0626-9">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable hyperbolic  software">
<a href="https://doi.org/10.7717/peerj-cs.68"><name> Clawpack: building an open source ecosystem for solving hyperbolic PDEs </name><br>
</a>
<authors> Kyle T Mandli, Aron J Ahmadia, Marsha  Berger, Donna  Calhoun, David L George, Yiannis  Hadjimichael, David I Ketcheson, Grady I Lemoine,  and Randall J LeVeque</authors>,
<journal> PeerJ Computer Science</journal>, 2 (2016)<br>
<links>  | <a href="https://doi.org/10.7717/peerj-cs.68">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  ssp  multistep">
<img src="http://davidketcheson.info/assets/paper_images/2016_ssp_lmm_vss.png" align="right" />
<a href="https://doi.org/10.1137/15M101717X"><name> Strong stability preserving explicit linear multistep methods with variable step size </name><br>
</a>
<authors> Yiannis  Hadjimichael, David I. Ketcheson, Lajos  Lóczi,  and Adrián  Németh</authors>,
<journal> SIAM Journal On Numerical Analysis</journal>, 54(5):2799-2832 (2016)<br>
<links>  | <a href="https://doi.org/10.1137/15M101717X">Published version</a>  | <a href="http://arxiv.org/abs/1504.04107">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable periodic-media  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2015_diffractons.png" align="right" />
<a href="https://doi.org/10.1137/130946526"><name> Diffractons: 2D solitary waves in layered periodic media </name><br>
</a>
<authors> David I. Ketcheson  and Manuel  Quezada de Luna</authors>,
<journal> Multiscale Modeling \& Simulation</journal>, 13(1):440--458 (2015)<br>
<links>  | <a href="https://doi.org/10.1137/130946526">Published version</a>  | <a href="http://arxiv.org/abs/1312.4122">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta time-integration multi-rate">
<a href="https://doi.org/10.1007/s10915-014-9906-1"><name> Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws </name><br>
</a>
<authors> W.  Hundsdorfer, D. I. Ketcheson,  and I.  Savostianov</authors>,
<journal> Journal of Scientific Computing</journal>, 63(3):633--653 (2015)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-014-9906-1">Published version</a>  | <a href="http://arxiv.org/abs/1310.7168">arXiv version</a>  | <a href="http://davidketcheson.info/assets/papers/2014_partitioned_multirate_postprint.pdf">Free Postprint</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2015_exponential_stability_regions.png" align="right" />
<a href="http://imajna.oxfordjournals.org/cgi/content/abstract/dru039?ijkey=k8rlLsKUMTuJVk4&keytype=ref"><name> On the absolute stability regions corresponding to partial sums of the exponential function </name><br>
</a>
<authors> David I. Ketcheson, Tihamer A. Kocsis,  and Lajos  Lóczi</authors>,
<journal> IMA Journal of Numerical Analysis</journal>, 35(3):1426-1455 (2015)<br>
<links>  | <a href="https://doi.org/10.1093/imanum/dru039">Published version</a>  | <a href="http://arxiv.org/abs/1312.0216">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable extrapolation  deferred correction  runge-kutta  time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2014_hork.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2014_hork.pdf"><name> A comparison of high order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel </name><br>
</a>
<authors> David I. Ketcheson  and Umair  bin Waheed</authors>,
<journal> CAMCoS</journal>, 9(2):175-200 (2014)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2014_hork.pdf">Free PDF</a>  | <a href="https://doi.org/10.2140/camcos.2014.9.175">Published version</a>  | <a href="http://arxiv.org/abs/1305.6165">arXiv version</a>  | <a href="http://github.com/ketch/high_order_RK_RR/">Code</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable internal stability  runge-kutta  extrapolation  ssp  time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2014_internal_stability.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2014_internal_stability.pdf"><name> Internal error propagation in explicit Runge--Kutta methods </name><br>
</a>
<authors> David I. Ketcheson, Lajos  Lóczi,  and Matteo  Parsani</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 52(5):2227--2249 (2014)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2014_internal_stability.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/130936245">Published version</a>  | <a href="http://arxiv.org/abs/1309.1317">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable heterogeneous media  nonlinear waves  p-system  periodic-media  solitary waves  soliton interaction  hyperbolic">
<a href="https://doi.org/10.1007/s10915-013-9747-3"><name> Numerical simulation of cylindrical solitary waves in periodic media </name><br>
</a>
<authors> Manuel  Quezada de Luna  and David I. Ketcheson</authors>,
<journal> Journal of Scientific Computing</journal>, 58(3):672-689 (2014)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-013-9747-3">Published version</a>  | <a href="http://arxiv.org/abs/1209.5164">arXiv version</a>  | <a href="http://davidketcheson.info/assets/papers/2014_cylindrical_solitary_waves_postprint.pdf">Free Postprint</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable strong stability preserving  runge-kutta  discontinuous galerkin  ssp  time-integration">
<a href="https://doi.org/10.1007/s10915-013-9796-7"><name> Optimal strong-stability-preserving Runge--Kutta time discretizations for discontinuous Galerkin methods </name><br>
</a>
<authors> Ethan J. Kubatko, Benjamin A. Yeager,  and David I. Ketcheson</authors>,
<journal> Journal of Scientific Computing</journal>, 60(2):313-344 (2014)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-013-9796-7">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/dg_ssp_stability.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable absolute monotonicity rational function  ssp">
<img src="http://davidketcheson.info/assets/paper_images/2014_rational_absmon.png" align="right" />
<a href="http://dx.doi.org/10.1112/S1461157013000326"><name> Rational functions with maximal radius of absolute monotonicity </name><br>
</a>
<authors> Lajos  Lóczi  and David I. Ketcheson</authors>,
<journal> LMS Journal of Computation and Mathematics</journal>, 17(1):159--205 (2014)<br>
<links>  | <a href="https://doi.org/10.1112/S1461157013000326">Published version</a>  | <a href="http://arxiv.org/abs/1303.6651">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable periodic-media  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/quezada_dispersion.png" align="right" />
<a href="https://doi.org/10.1137/130937962"><name> Two-dimensional wave propagation in layered periodic media </name><br>
</a>
<authors> Manuel  Quezada de Luna  and David I. Ketcheson</authors>,
<journal> SIAM Journal on Applied Mathematics</journal>, 74(6):1852-1869 (2014)<br>
<links>  | <a href="https://doi.org/10.1137/130937962">Published version</a>  | <a href="http://arxiv.org/abs/1309.6666">arXiv version</a>  | <a href="https://github.com/ketch/effective_dispersion_RR">Reproducibility repository</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta method of lines optimization spectral difference time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2013_sd_erk.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2013_sd_erk.pdf"><name> Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems </name><br>
</a>
<authors> Matteo  Parsani, David I. Ketcheson,  and Willem  Deconinck</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 35(2):A957-A986 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2013_sd_erk.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/120885899">Published version</a>  | <a href="http://arxiv.org/abs/1207.5830">arXiv version</a>  | <a href="http://github.com/ketch/optimized-erk-sd-rr">Reproducibility repository</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta weno clawpack finite volumes high order methods hyperbolic pdes numerical methods scientific computing scientific software sharpclaw hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2013_sharpclaw.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/sharpclaw.pdf"><name> High-order Wave Propagation Algorithms for Hyperbolic Systems </name><br>
</a>
<authors> David I. Ketcheson, Matteo  Parsani,  and Randall J. LeVeque</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 35(1):A351--A377 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/sharpclaw.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/110830320">Published version</a>  | <a href="http://arxiv.org/abs/1111.3499">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta methods convergence positivity time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2013_sperk.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2013_sperk.pdf"><name> Spatially partitioned embedded Runge--Kutta methods </name><br>
</a>
<authors> David I. Ketcheson, Colin B. Macdonald,  and Steven J. Ruuth</authors>,
<journal> SIAM Journal On Numerical Analysis</journal>, 51(5):2887-2910 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2013_sperk.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/130906258">Published version</a>  | <a href="http://arxiv.org/abs/1301.4006">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable effective order strong stability preservation ssp  runge-kutta  time-integration">
<a href="http://davidketcheson.info/assets/papers/2013_effective_order_ssp.pdf"><name> Strong Stability Preserving Explicit Runge--Kutta Methods of Maximal Effective Order </name><br>
</a>
<authors> Yiannis  Hadjimichael, Colin B. Macdonald, David I. Ketcheson,  and J. H. Verner</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 51(4):2149--2165 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2013_effective_order_ssp.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/120884201">Published version</a>  | <a href="http://arxiv.org/abs/1207.2902">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable clawpack finite volumes hyperbolic pdes petclaw pyclaw python sharpclaw  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2012_pyclaw-sisc.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2012_pyclaw-sisc.pdf"><name> PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems </name><br>
</a>
<authors> David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal  Alghamdi, Manuel  Quezada de Luna, Matteo  Parsani, Matthew G. Knepley,  and Matthew  Emmett</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 34(4):C210--C231 (2012)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2012_pyclaw-sisc.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/110856976">Published version</a>  | <a href="http://arxiv.org/abs/1111.6583">arXiv version</a>  | <a href="http://bitbucket.org/ahmadia/pyclaw-sisc-rr">Reproducibility repository</a>  | <a href="http://numerics.kaust.edu.sa/papers/pyclaw-sisc/pyclaw-sisc.html">Figures with interactive code</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable numerical analysis optimization and control  time-integration  runge-kutta">
<img src="http://davidketcheson.info/assets/paper_images/2012_optimal_stability_polynomials.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2012_optimal_stability_polynomials.pdf"><name> Optimal stability polynomials for numerical integration of initial value problems </name><br>
</a>
<authors> David I. Ketcheson  and Aron J. Ahmadia</authors>,
<journal> Communications in Applied Mathematics and Computational Science</journal>, 7(2):247--271 (2012)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2012_optimal_stability_polynomials.pdf">Free PDF</a>  | <a href="https://doi.org/10.2140/camcos.2012.7.247">Published version</a>  | <a href="http://arxiv.org/abs/1201.3035">arXiv version</a>  | <a href="http://github.com/ketch/RK-opt">code</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable clawpack computational science elasticity hyperbolic pdes laminates layered media nonlinear waves periodic media sharpclaw shock waves solitary waves spatially varying flux  hyperbolic  periodic-media">
<img src="http://davidketcheson.info/assets/paper_images/2012_ketchesonleveque_periodic.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2012_ketchesonleveque_periodic.pdf"><name> Shock Dynamics in Layered Periodic Media </name><br>
</a>
<authors> David I. Ketcheson  and Randall J. LeVeque</authors>,
<journal> Communications in Mathematical Sciences</journal>, 10(3):859--874 (2012)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2012_ketchesonleveque_periodic.pdf">Free PDF</a>  | <a href="https://doi.org/10.4310/CMS.2012.v10.n3.a7">Published version</a>  | <a href="http://arxiv.org/abs/1105.2892">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp  runge-kutta  time-integration">
<a href="http://davidketcheson.info/assets/papers/2011_tsrk.pdf"><name> Strong Stability Preserving Two-step Runge--Kutta Methods </name><br>
</a>
<authors> David I. Ketcheson, Sigal  Gottlieb,  and Colin B. Macdonald</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 49(6):2618-2639 (2011)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2011_tsrk.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/10080960X">Published version</a>  | <a href="http://arxiv.org/abs/1106.3626">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable numerical analysis runge-kutta ssp downwind hyperbolic pdes implicit linear multistep methods strong stability preservation hyperbolic time-integration">
<a href="http://numerics.kaust.edu.sa/papers/dwrk2011/downwind_ssp.html"><name> Step Sizes for Strong Stability Preservation with Downwind-Biased Operators </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 49(4):1649 (2011)<br>
<links>  | <a href="https://doi.org/10.1137/100818674">Published version</a>  | <a href="http://arxiv.org/abs/1105.5798">arXiv version</a>  | <a href="http://github.com/ketch/downwind_IRK_RR">Reproducibility repository</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ode solver runge-kutta shu-osher form algorithms low-storage numerical methods optimization time-integration">
<a href="http://linkinghub.elsevier.com/retrieve/pii/S0021999109006251"><name> Runge--Kutta methods with minimum storage implementations </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> Journal of Computational Physics</journal>, 229(5):1763--1773 (2010)<br>
<links>  | <a href="https://doi.org/10.1016/j.jcp.2009.11.006">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/2010_LSRK_postprint.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ode solver ssp optimization strong stability preservation time-integration">
<a href="http://davidketcheson.info/assets/papers/2009_monotonicity-glms.pdf"><name> Computation of optimal monotonicity preserving general linear methods </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> Mathematics of Computation</journal>, 78(267):1497--1513 (2009)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2009_monotonicity-glms.pdf">Free PDF</a>  | <a href="https://doi.org/10.1090/S0025-5718-09-02209-1">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta ssp implicit optimization strong stability preservation time-integration">
<a href="http://linkinghub.elsevier.com/retrieve/pii/S0168927408000688"><name> Optimal implicit strong stability preserving Runge--Kutta methods </name><br>
</a>
<authors> David I. Ketcheson, Colin B. Macdonald,  and Sigal  Gottlieb</authors>,
<journal> Applied Numerical Mathematics</journal>, 59(2):373--392 (2009)<br>
<links>  | <a href="https://doi.org/10.1016/j.apnum.2008.03.034">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/implicit_ssp_postprint.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable euler's method ode solver runge-kutta ssp contractivity general linear methods linear multistep methods method of lines monotonicity multistep methods nonlinear stability numerical analysis numerical methods optimization positivity review runge-kutta methods spectral deferred correction methods spectral deferred corrections strong stability preservation strong stability preserving time discretization total variation diminishing time-integration">
<a href="http://www.springerlink.com/index/10.1007/s10915-008-9239-z"><name> High Order Strong Stability Preserving Time Discretizations </name><br>
</a>
<authors> Sigal  Gottlieb, David I. Ketcheson,  and Chi-Wang  Shu</authors>,
<journal> Journal of Scientific Computing</journal>, 38(3):251--289 (2009)<br>
<links>  | <a href="https://doi.org/10.1007/s10915-008-9239-z">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/sspreview.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ode solver runge-kutta ssp low-storage optimization strong stability preservation time-integration">
<a href="http://davidketcheson.info/assets/papers/2008_explicit_ssp.pdf"><name> Highly Efficient Strong Stability Preserving Runge-Kutta Methods with Low-Storage Implementations </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 30(4):2113--2136 (2008)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2008_explicit_ssp.pdf">Free PDF</a>  | <a href="https://doi.org/10.1137/07070485X">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable radiation transport">
<a href="http://www.new.ans.org/pubs/journals/nse/a_9070"><name> Surface and Volume Integrals of Uncollided Adjoint Fluxes and Forward-Adjoint Flux Products </name><br>
</a>
<authors> Jeffrey A. Favorite, Keith C. Bledsoe,  and David I. Ketcheson</authors>,
<journal> Nuclear Science and Engineering</journal> (2008)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable inverse problem optimization radiation transport">
<a href="http://davidketcheson.info/assets/papers/2007_Favorite_marq.pdf"><name> Using the Levenberg-Marquardt method for the solution of inverse transport problems </name><br>
</a>
<authors> Jeffrey A. Favorite  and David I. Ketcheson</authors>,
<journal> Transactions of the American Nuclear Society</journal>, 95 (2006)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2007_Favorite_marq.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta ssp optimization strong stability preservation time-integration">
<a href="http://doi.wiley.com/10.1002/fld.837"><name> On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-type schemes </name><br>
</a>
<authors> David I. Ketcheson  and Allen C. Robinson</authors>,
<journal> International Journal for Numerical Methods in Fluids</journal>, 48(3):271--303 (2005)<br>
<links>  | <a href="https://doi.org/10.1002/fld.837">Published version</a> |</links><div style="clear:both"></div>

</div>

<h2>Books</h2>
<div id="pub" class="pub filterable ode solver runge-kutta ssp contractivity general linear methods initial value problems linear multistep methods low-storage monotonicity nonlinear stability optimization positivity strong stability preservation total variation diminishing time-integration">
<a href="http://www.amazon.com/Stability-Preserving-Runge-Kutta-Multistep-Discretizations/dp/9814289264"><name> Strong Stability Preserving Runge-Kutta And Multistep Time Discretizations </name><br>
</a>
<authors> Sigal  Gottlieb, David I. Ketcheson,  and Chi-Wang  Shu</authors>,
 (2011)<br>
<links>  | <a href="https://doi.org/10.1142/7498">Published version</a> |</links><div style="clear:both"></div>

</div>

<h2>Conference Proceedings</h2>
<div id="pub" class="pub filterable runge-kutta  time-integration">
<a href="https://doi.org/10.1007/978-3-030-39647-3_36"><name> DIRK Schemes with High Weak Stage Order </name><br>
</a>
<authors> David I. Ketcheson, Benjamin  Seibold, David  Shirokoff,  and Dong  Zhou</authors>,
in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. (2018)<br>
<links>  | <a href="https://doi.org/10.1007/978-3-030-39647-3_36">Published version</a>  | <a href="http://arxiv.org/abs/1811.01285">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<name> Teaching numerical methods with IPython notebooks and inquiry-based learning </name><br>
<authors> David I. Ketcheson</authors>,
 Available from http://conference.scipy.org/proceedings/scipy2014/ketcheson.htmlin {P}roceedings of the 13th {P}ython in {S}cience {C}onference. (2014)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable high-order spectral difference method optimized explicit runge-kutta wave propagation  hyperbolic  time-integration  runge-kutta">
<a href="http://www.oulu.fi/mekapaivat2012/meka2012_proceedings.pdf"><name> Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method </name><br>
</a>
<authors> Matteo  Parsani  and David I Ketcheson</authors>,
in Proceedings of the 11th Finnish Mechanics Days. (2012)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta  time-integration">
<name> Explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems </name><br>
<authors> Matteo  Parsani, David I. Ketcheson,  and Willem  Deconinck</authors>,
in Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering. (2012)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta  time-integration">
<name> Design of optimal explicit linearly stable strong stability preserving Runge-Kutta schemes for the spectral difference method </name><br>
<authors> Matteo  Parsani  and David I. Ketcheson</authors>,
 Extended abstract.in International Conference on Spectral and High Order Methods. (2012)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable bluegene/p shaheen clawpack computational science finite volumes high performance computing numpy parallel petclaw petsc petsc4py python scaling scientific computing scientific software weak scaling hyperbolic">
<a href="http://numerics.kaust.edu.sa/papers/petclaw2011/petclaw2011.html"><name> PetClaw: A Scalable Parallel Nonlinear Wave Propagation Solver for Python </name><br>
</a>
<authors> Amal  Alghamdi, Aron J. Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli,  and Lisandro  Dalcin</authors>,
in Proceedings of SpringSim '11. (2011)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable python hyperbolic">
<a href="http://conference.scipy.org/proceedings/scipy2011/pdfs/mandli_etal.pdf"><name> Using Python to Construct a Scalable Parallel Nonlinear Wave Solver </name><br>
</a>
<authors> Kyle T. Mandli, Amal  Alghamdi, Aron J. Ahmadia, David I. Ketcheson,  and W.  Scullin</authors>,
in Proceedings of SciPy 2011. (2011)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable weno finite volumes hyperbolic pdes hyperbolic">
<a href="http://www.davidketcheson.info/assets/papers/hyp2006_wenoclaw.pdf"><name> WENOCLAW: A higher order wave propagation method </name><br>
</a>
<authors> David I. Ketcheson  and Randall J. LeVeque</authors>,
in Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Eleventh International Conference on Hyperbolic Problems. (2008)<br>
<links>  | <a href="http://www.davidketcheson.info/assets/papers/hyp2006_wenoclaw.pdf">Free PDF</a>  | <a href="https://doi.org/10.1.1.123.7865">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<name> The luminosities of horizontal branches and RR Lyrae stars in globular clusters </name><br>
<authors> DH  McNamara, MB  Rose, PJ  Brown, DI  Ketcheson, JE  Maxwell, KM  Smith,  and RC  Wooley</authors>,
in IAU Colloq. 193: Variable Stars in the Local Group. (2004)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<name> CCD Photometry of Variables in the Field of QS Geminorum </name><br>
<authors> David I. Ketcheson, PJ  Brown,  and EG  Hintz</authors>,
in Bulletin of the American Astronomical Society. (2002)<div style="clear:both"></div>

</div>

<h2>Technical Reports</h2>
<div id="pub" class="pub filterable epidemiology">
<a href="https://doi.org/10.1101/2020.05.11.20097972"><name> Estimating and forecasting COVID-19 attack rates and mortality </name><br>
</a>
<authors> David I Ketcheson, Hernando  Ombao, Paula  Moraga, Tarig  Ballal,  and Carlos M Duarte</authors>,
 (2020)<br>
<links>  | <a href="https://doi.org/10.1101/2020.05.11.20097972">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration">
<a href="http://davidketcheson.info/assets/papers/2015_practical_splitting.pdf"><name> Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes </name><br>
</a>
<authors> W.  Auzinger, H.  Hofstatter, David I. Ketcheson,  and O.  Koch</authors>,
 (2015)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2015_practical_splitting.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable internal stability  runge-kutta  extrapolation  ssp  time-integration">
<a href="http://arxiv.org/abs/1309.1317"><name> Propagation of internal errors in explicit Runge--Kutta methods and internal stability of SSP and extrapolation methods </name><br>
</a>
<authors> David I Ketcheson, Lajos  Lóczi,  and Matteo  Parsani</authors>,
 (2013)<br>
<links>  | <a href="http://arxiv.org/abs/1309.1317">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable eulerian kinematics lagrangian solid mechanics hyperbolic">
<a href="http://davidketcheson.info/assets/papers/2009_kinematics.pdf"><name> A Comparison of Lagrangian/Eulerian Approaches for Tracking the Kinematics of High Deformation Solid Motion </name><br>
</a>
<authors> Allen C. Robinson, David I. Ketcheson, T.L.  Ames,  and G.V.  Farnsworth</authors>,
 (2009)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2009_kinematics.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="http://davidketcheson.info/assets/papers/2005_ketcheson_lanl_scattering.pdf"><name> Inverse Solution Methods and Perturbation Estimates for Radiation Leakage without Scattering </name><br>
</a>
<authors> David I. Ketcheson</authors>,
 (2005)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2005_ketcheson_lanl_scattering.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp central schemes godunov type methods hyperbolic pdes method of lines strong stability preservation time discretization time-integration runge-kutta">
<a href="https://doi.org/10.2172/918357"><name> An assessment of semi-discrete central schemes for hyperbolic conservation laws </name><br>
</a>
<authors> Mark A Christon, David I. Ketcheson,  and Allen C. Robinson</authors>,
 (2003)<br>
<links>  | <a href="https://doi.org/10.2172/918357">Published version</a> |</links><div style="clear:both"></div>

</div>

<h2>Theses</h2>
<div id="pub" class="pub filterable ode solver runge-kutta ssp downwinding general linear methods homogenization linear multistep methods nonlinear waves numerical analysis numerical methods optimization sharpclaw stability stegotons strong stability preservation total variation diminishing time-integration hyperbolic">
<a href="http://davidketcheson.info/assets/papers/ketchesonphdthesis.pdf"><name> High Order Strong Stability Preserving Time Integrators and Numerical Wave Propagation Methods for Hyperbolic PDEs </name><br>
</a>
<authors> David I. Ketcheson</authors>,
 University of Washington, (2009)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/ketchesonphdthesis.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>


</div>

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